Starting with two basic vector steps, which destinations can you reach on a vector walk?
Are these estimates of physical quantities accurate?
Analyse these beautiful biological images and attempt to rank them in size order.
Explore the properties of perspective drawing.
How would you go about estimating populations of dolphins?
Work with numbers big and small to estimate and calculate various quantities in biological contexts.
Work with numbers big and small to estimate and calulate various quantities in biological contexts.
How much energy has gone into warming the planet?
In Fill Me Up we invited you to sketch graphs as vessels are filled with water. Can you work out the equations of the graphs?
10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
Work with numbers big and small to estimate and calculate various quantities in physical contexts.
Can you work out which processes are represented by the graphs?
A problem about genetics and the transmission of disease.
Formulate and investigate a simple mathematical model for the design of a table mat.
Can you draw the height-time chart as this complicated vessel fills with water?
Explore the relationship between resistance and temperature
Estimate these curious quantities sufficiently accurately that you can rank them in order of size
Get some practice using big and small numbers in chemistry.
Examine these estimates. Do they sound about right?
Could nanotechnology be used to see if an artery is blocked? Or is this just science fiction?
Can you work out what this procedure is doing?
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Many physical constants are only known to a certain accuracy. Explore the numerical error bounds in the mass of water and its constituents.
Which dilutions can you make using only 10ml pipettes?
Various solids are lowered into a beaker of water. How does the water level rise in each case?
Work out the numerical values for these physical quantities.
An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?
Use your skill and knowledge to place various scientific lengths in order of size. Can you judge the length of objects with sizes ranging from 1 Angstrom to 1 million km with no wrong attempts?
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
When a habitat changes, what happens to the food chain?
How efficiently can you pack together disks?
Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?
Which units would you choose best to fit these situations?
When you change the units, do the numbers get bigger or smaller?
Simple models which help us to investigate how epidemics grow and die out.
Two trains set off at the same time from each end of a single straight railway line. A very fast bee starts off in front of the first train and flies continuously back and forth between the. . . .
Can you work out which drink has the stronger flavour?
Where should runners start the 200m race so that they have all run the same distance by the finish?
How would you design the tiering of seats in a stadium so that all spectators have a good view?
What shapes should Elly cut out to make a witch's hat? How can she make a taller hat?
How do you write a computer program that creates the illusion of stretching elastic bands between pegs of a Geoboard? The answer contains some surprising mathematics.
Investigate circuits and record your findings in this simple introduction to truth tables and logic.
Is it cheaper to cook a meal from scratch or to buy a ready meal? What difference does the number of people you're cooking for make?
Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?
Explore the properties of isometric drawings.
Have you ever wondered what it would be like to race against Usain Bolt?
Use trigonometry to determine whether solar eclipses on earth can be perfect.
If I don't have the size of cake tin specified in my recipe, will the size I do have be OK?
The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...